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Finding the Fourth Proportional to 8,343.45, 11,514 and 4,566.66

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Solution

The fourth proportional to 8,343.45, 11,514 and 4,566.66 is: 6,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.45 : 11,514 = 4,566.66 : x
  2. Step 2: Convert to fraction form
    8,343.45/11,514 = 4,566.66/x
  3. Step 3: Cross multiply
    8,343.45x = 11,514 × 4,566.66
  4. Step 4: Simplify right side
    8,343.45x = 52,580,523.24
  5. Step 5: Solve for x
    x = 52,580,523.24/8,343.45
  6. Step 6: Final answer
    x = 6,302.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.